Heuristic for constrained two-dimensional three-staged patterns

Heuristic for constrained two-dimensional three-staged patterns

0.00 Avg rating0 Votes
Article ID: iaor201525798
Volume: 66
Issue: 4
Start Page Number: 647
End Page Number: 656
Publication Date: Apr 2015
Journal: Journal of the Operational Research Society
Authors: , , ,
Keywords: cutting stock, heuristics
Abstract:

Three‐staged cutting patterns are often used in dividing large plates into small rectangular items. Vertical cuts separate the plate into segments in the first stage, horizontal cuts split each segment into strips in the second stage, and vertical cuts divide each strip into items in the third stage. A heuristic algorithm for generating constrained three‐staged patterns is presented in this paper. The optimization objective is to maximize the pattern value that is the total value of the included items, while the frequency of each item type should not exceed the specified upper bound. The algorithm uses an exact procedure to generate strips and two heuristic procedures to generate segments and the pattern. The pattern‐generation procedure first determines an initial solution and then uses its information to generate more segments to extend the solution space. Computational results show that the algorithm is effective in improving solution quality.

Reviews

Required fields are marked *. Your email address will not be published.